Respuesta :

Answer:

no solutions

Step-by-step explanation:

2(x+7) = 6x + 9 -4x

Distribute

2x+14 = 6x + 9 -4x

Combine like terms

2x+14 = 2x + 9

Subtract 2x from each side

2x+14-2x = 2x + 9 -2x

14 = 9

This is never true so there are no solutions

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2(x + 7) = 6x + 9 - 4x}[/tex]

[tex]\large\textsf{2x + 14 = 6x + 9 - 4x}[/tex]

[tex]\large\textsf{2x + 14 = 2x + 9}[/tex]

[tex]\large\text{SUBTRACT \textsf{2x} to BOTH SIDES}[/tex]

[tex]\large\textsf{2x + 14 - 2x = 2x + 9 - 2x}[/tex]

[tex]\large\text{CANCEL out: \textsf{2x - 2x} because that gives you \textsf{0}}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{14 = 9}}[/tex]

[tex]\large\text{SUBTRACT \textsf{14} to BOTH SIDES}[/tex]

[tex]\large\textsf{14 - 14 = 9 - 14}[/tex]

[tex]\large\textsf{14 - 14 = \bf 0}[/tex]

[tex]\large\textsf{9 - 14 = \bf -5}[/tex]

[tex]\large\textsf{\bf 0 = -5}[/tex]

[tex]\large\textsf{Therefore, this means that you DO NOT have any solutions to this}\\\large\textsf{equation}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer: \textsf{No Solutions}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]